From Observation to Intervention: A Causal Audit of Expert Importance in Mixture-of-Experts Models

arXiv:2606.10703 · cs.LG, cs.CL · Submitted 2026-06-09 · Read on arXiv

cs.LG, cs.CL

Submitted: 2026-06-09

Updated: 2026-06-16

Comments: 9 pages, 2 figures, 9 tables. Accepted at the ICML 2026 Workshop on Philosophy of Science Meets Machine Learning (PhilML). Camera-ready Version. Non-archival

Journal ref: ICML 2026 Workshop on Philosophy of Science Meets Machine Learning (PhilML)

Code: https://github.com/callmeloui/observational_metrics

License: http://creativecommons.org/licenses/by/4.0/

The gist: Interpretability methods routinely use population-level summary statistics over observed model behaviour to license claims about the effects of targeted interventions on specific computations; in

Terminology

Abstract

Interpretability methods routinely use population-level summary statistics over observed model behaviour to license claims about the effects of targeted interventions on specific computations; in Pearl's terms, they treat rung-1 associational evidence as if it supported rung-2 interventional conclusions, a move whose validity is rarely tested. We examine one concrete instance: the use of routing statistics in Mixture-of-Experts (MoE) pruning, where utilization rates, activation norms, and routing weight distributions are treated as predictors of which experts can be removed without functional cost. A token-level interventional audit across three high-redundancy MoE architectures (OLMoE-1B-7B-0924, Qwen1.5-MoE-A2.7B, DeepSeek-V2-Lite) finds no observational metric predicts causal expert importance in any model: across all 60 metric-layer combinations effect sizes stay below Cohen's d = 0.23, and no metric is reliably positive under our corrected, dual-test criterion. A per-token routing weight control, run with identical n, rules out insufficient power, recovering a signal whose CI excludes zero at OLMoE's final MoE layer (d = +0.231, 95% CI [+0.09, +0.37], p = 0.0013). Existing pruning methods succeed in this regime not by identifying dispensable experts but because early-layer redundancy renders most selection criteria interchangeable. Our results provide an explicit counterexample to the common inferential step from population-level observational summaries to token-level interventional claims about expert importance, and illustrate how interventional audits can calibrate the evidential standards for interpretability claims.

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